Similarly, \(M^{trop}_{g,n}\)  (resp. \(\overline{M}^{trop}_{g,n}\) ) naturally parametrizes stable (resp. extended) tropical curves of type \((g,n)\)  (see [1]} and [2]}) and, moreover, the map \(\Phi ^{\operatorname{trop}}\)  sends \((\Gamma ,D)\in J^{trop}_{g,n}\)  (resp. \(\in \overline{J}^{trop}_{g,n}\) ) into the stabilization \(\Gamma ^{\operatorname{st}}\in M^{trop}_{g,n}\)  (resp. \(\in \overline{M}^{trop}_{g,n}\) ) of \(\Gamma \) .
